Log Manipulation Urgent Question

mmmwa

New member
Joined
May 17, 2021
Messages
1
log p(X) = 5
log p(Y) = 2

find the value of log XY(p)


I've attempted changing the base of the original equations but am stuck with little idea of how to proceed.
 

nasi112

Full Member
Joined
Aug 23, 2020
Messages
425
Use logarithm properties such as \(\displaystyle \log xy = \log x + \log y\)
 

Dr.Peterson

Elite Member
Joined
Nov 12, 2017
Messages
11,537
log p(X) = 5
log p(Y) = 2

find the value of log XY(p)


I've attempted changing the base of the original equations but am stuck with little idea of how to proceed.
Please clarify your notation. Does "log p(X)", to you, mean \(\log(p(X))\) or \(\log_p(X)\) or \(\log_X(p)\)? That is, what is the base?

Either give us an image of the problem, or explain what it means in words, so we can be sure. Or, use standard notation, with "_" to indicate a subscript.

I'm guessing that you mean:

\(\log_p(X) = 5\)​
\(\log_p(Y) = 2\)​
\(\log_{XY}(p) = ?\)​

If so, do you know the change of base formula?
 
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